Solution Found!
In 5 through 8, determine whether Theorem 5 applies. If it
Chapter 4, Problem 8E(choose chapter or problem)
In Problems 5 through 8 , determine whether Theorem 5 applies. If it does, then discuss what conclusions can be drawn. If it does not, explain why.
\((1-t) y^{\prime \prime}+t y^{\prime}-2 y=\sin t\);
\(y(0)=1, y^{\prime}(0)=1\)
Equation Transcription:
Text Transcription:
(1-t)y''+ty'-2y=sin t
y(0)=1, y'(0)=1
Questions & Answers
QUESTION:
In Problems 5 through 8 , determine whether Theorem 5 applies. If it does, then discuss what conclusions can be drawn. If it does not, explain why.
\((1-t) y^{\prime \prime}+t y^{\prime}-2 y=\sin t\);
\(y(0)=1, y^{\prime}(0)=1\)
Equation Transcription:
Text Transcription:
(1-t)y''+ty'-2y=sin t
y(0)=1, y'(0)=1
ANSWER:
SOLUTION
Step 1
Given equation is
Rearrange the terms we get,